Why not simply use a 12-inch iPad and adapt a Bluetooth keyboard?
I mean, I'm working on something similar, trying to save an HP HDX9400 that had a dead motherboard. This kind of adaptation is complex, you need a charge controller for a battery, you need a module to control the keyboard (in fact, you first need to figure out what the keyboard matrix is, and then write a program on a Teensy module, Arduino or something like that), you would also need to adapt the screen and that is a terrible idea. The original screen has a terrible viewing angle, contrast, resolution, and today, being 25 years old or more, it is a time bomb for vinegaring (deterioration of the glue of the polarizing film), which is a very delicate additional work and with a high chance of damaging the display during the process.
From my point of view, the ideal is to replace the display with a modern display, and one that is still in production. The ThinkPad X61 screens have good viewing angle and contrast, but they are hard to find, as is the X61 itself.
Unfortunately, 4:3 screens disappeared from retail many years ago. What exists today is aimed at the industrial market and costs a fortune. The closest thing to this format is the screens of tablets like the iPad.